Search a number
-
+
18906030 = 232511132113
BaseRepresentation
bin100100000011…
…1101110101110
31022120112012100
41020013232232
514314443110
61513115530
7316461423
oct110075656
938515170
1018906030
11a743420
1263b8ba6
133bbc500
142721d4a
1519d6bc0
hex1207bae

18906030 has 144 divisors (see below), whose sum is σ = 58580496. Its totient is φ = 4193280.

The previous prime is 18905963. The next prime is 18906031. The reversal of 18906030 is 3060981.

It is a junction number, because it is equal to n+sod(n) for n = 18905985 and 18906003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18906031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 167254 + ... + 167366.

It is an arithmetic number, because the mean of its divisors is an integer number (406809).

Almost surely, 218906030 is an apocalyptic number.

18906030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18906030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29290248).

18906030 is an abundant number, since it is smaller than the sum of its proper divisors (39674466).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18906030 is a wasteful number, since it uses less digits than its factorization.

18906030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 18906030 is about 4348.1064844366. The cubic root of 18906030 is about 266.3995258764.

The spelling of 18906030 in words is "eighteen million, nine hundred six thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 110 113 117 130 143 165 169 195 198 226 234 286 330 338 339 390 429 495 507 565 585 678 715 845 858 990 1014 1017 1130 1170 1243 1287 1430 1469 1521 1690 1695 1859 2034 2145 2486 2535 2574 2938 3042 3390 3718 3729 4290 4407 5070 5085 5577 6215 6435 7345 7458 7605 8814 9295 10170 11154 11187 12430 12870 13221 14690 15210 16159 16731 18590 18645 19097 22035 22374 26442 27885 32318 33462 37290 38194 44070 48477 55770 55935 57291 66105 80795 83655 95485 96954 111870 114582 132210 145431 161590 167310 171873 190970 210067 242385 286455 290862 343746 420134 484770 572910 630201 727155 859365 1050335 1260402 1454310 1718730 1890603 2100670 3151005 3781206 6302010 9453015 18906030